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Finding the Third Proportional to 116,552 and 249,721

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Solution

The third proportional to 116,552 and 249,721 is: 535,045.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,552 : 249,721 = 249,721 : x
  2. Step 2: Convert to fraction form
    116,552/249,721 = 249,721/x
  3. Step 3: Cross multiply
    116,552x = 249,721 × 249,721
  4. Step 4: Simplify right side
    116,552x = 62,360,577,841
  5. Step 5: Solve for x
    x = 62,360,577,841/116,552
  6. Step 6: Final answer
    x = 535,045.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.