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Finding the Third Proportional to 63,368 and 94,862

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Solution

The third proportional to 63,368 and 94,862 is: 142,008.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,368 : 94,862 = 94,862 : x
  2. Step 2: Convert to fraction form
    63,368/94,862 = 94,862/x
  3. Step 3: Cross multiply
    63,368x = 94,862 × 94,862
  4. Step 4: Simplify right side
    63,368x = 8,998,799,044
  5. Step 5: Solve for x
    x = 8,998,799,044/63,368
  6. Step 6: Final answer
    x = 142,008.57

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