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Finding the Third Proportional to 122,011.13 and 249,968.06

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Solution

The third proportional to 122,011.13 and 249,968.06 is: 512,117.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,011.13 : 249,968.06 = 249,968.06 : x
  2. Step 2: Convert to fraction form
    122,011.13/249,968.06 = 249,968.06/x
  3. Step 3: Cross multiply
    122,011.13x = 249,968.06 × 249,968.06
  4. Step 4: Simplify right side
    122,011.13x = 62,484,032,270.00
  5. Step 5: Solve for x
    x = 62,484,032,270.00/122,011.13
  6. Step 6: Final answer
    x = 512,117.50

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.