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Finding the Third Proportional to 114,561 and 249,453

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Solution

The third proportional to 114,561 and 249,453 is: 543,176.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,561 : 249,453 = 249,453 : x
  2. Step 2: Convert to fraction form
    114,561/249,453 = 249,453/x
  3. Step 3: Cross multiply
    114,561x = 249,453 × 249,453
  4. Step 4: Simplify right side
    114,561x = 62,226,799,209
  5. Step 5: Solve for x
    x = 62,226,799,209/114,561
  6. Step 6: Final answer
    x = 543,176.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.