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Finding the Third Proportional to 115,101 and 249,516

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Solution

The third proportional to 115,101 and 249,516 is: 540,900.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,101 : 249,516 = 249,516 : x
  2. Step 2: Convert to fraction form
    115,101/249,516 = 249,516/x
  3. Step 3: Cross multiply
    115,101x = 249,516 × 249,516
  4. Step 4: Simplify right side
    115,101x = 62,258,234,256
  5. Step 5: Solve for x
    x = 62,258,234,256/115,101
  6. Step 6: Final answer
    x = 540,900.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.