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Finding the Third Proportional to 82,952 and 124,428

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Solution

The third proportional to 82,952 and 124,428 is: 186,642

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,952 : 124,428 = 124,428 : x
  2. Step 2: Convert to fraction form
    82,952/124,428 = 124,428/x
  3. Step 3: Cross multiply
    82,952x = 124,428 × 124,428
  4. Step 4: Simplify right side
    82,952x = 15,482,327,184
  5. Step 5: Solve for x
    x = 15,482,327,184/82,952
  6. Step 6: Final answer
    x = 186,642

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.