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Finding the Third Proportional to 163,126 and 249,563

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Solution

The third proportional to 163,126 and 249,563 is: 381,801.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,126 : 249,563 = 249,563 : x
  2. Step 2: Convert to fraction form
    163,126/249,563 = 249,563/x
  3. Step 3: Cross multiply
    163,126x = 249,563 × 249,563
  4. Step 4: Simplify right side
    163,126x = 62,281,690,969
  5. Step 5: Solve for x
    x = 62,281,690,969/163,126
  6. Step 6: Final answer
    x = 381,801.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.