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Finding the Third Proportional to 56,807 and 87,870

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Solution

The third proportional to 56,807 and 87,870 is: 135,918.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,807 : 87,870 = 87,870 : x
  2. Step 2: Convert to fraction form
    56,807/87,870 = 87,870/x
  3. Step 3: Cross multiply
    56,807x = 87,870 × 87,870
  4. Step 4: Simplify right side
    56,807x = 7,721,136,900
  5. Step 5: Solve for x
    x = 7,721,136,900/56,807
  6. Step 6: Final answer
    x = 135,918.76

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.