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Finding the Third Proportional to 119,937 and 249,597

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Solution

The third proportional to 119,937 and 249,597 is: 519,428.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,937 : 249,597 = 249,597 : x
  2. Step 2: Convert to fraction form
    119,937/249,597 = 249,597/x
  3. Step 3: Cross multiply
    119,937x = 249,597 × 249,597
  4. Step 4: Simplify right side
    119,937x = 62,298,662,409
  5. Step 5: Solve for x
    x = 62,298,662,409/119,937
  6. Step 6: Final answer
    x = 519,428.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.