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Finding the Third Proportional to 60,931 and 90,886

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Solution

The third proportional to 60,931 and 90,886 is: 135,567.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,931 : 90,886 = 90,886 : x
  2. Step 2: Convert to fraction form
    60,931/90,886 = 90,886/x
  3. Step 3: Cross multiply
    60,931x = 90,886 × 90,886
  4. Step 4: Simplify right side
    60,931x = 8,260,264,996
  5. Step 5: Solve for x
    x = 8,260,264,996/60,931
  6. Step 6: Final answer
    x = 135,567.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.