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Finding the Third Proportional to 118,754 and 249,028

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Solution

The third proportional to 118,754 and 249,028 is: 522,213.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,754 : 249,028 = 249,028 : x
  2. Step 2: Convert to fraction form
    118,754/249,028 = 249,028/x
  3. Step 3: Cross multiply
    118,754x = 249,028 × 249,028
  4. Step 4: Simplify right side
    118,754x = 62,014,944,784
  5. Step 5: Solve for x
    x = 62,014,944,784/118,754
  6. Step 6: Final answer
    x = 522,213.52

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.