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Finding the Third Proportional to 56,934 and 85,086.50

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Solution

The third proportional to 56,934 and 85,086.50 is: 127,159.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,934 : 85,086.50 = 85,086.50 : x
  2. Step 2: Convert to fraction form
    56,934/85,086.50 = 85,086.50/x
  3. Step 3: Cross multiply
    56,934x = 85,086.50 × 85,086.50
  4. Step 4: Simplify right side
    56,934x = 7,239,712,482.25
  5. Step 5: Solve for x
    x = 7,239,712,482.25/56,934
  6. Step 6: Final answer
    x = 127,159.74

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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.