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Finding the Third Proportional to 58,689 and 81,877.50

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Solution

The third proportional to 58,689 and 81,877.50 is: 114,227.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,689 : 81,877.50 = 81,877.50 : x
  2. Step 2: Convert to fraction form
    58,689/81,877.50 = 81,877.50/x
  3. Step 3: Cross multiply
    58,689x = 81,877.50 × 81,877.50
  4. Step 4: Simplify right side
    58,689x = 6,703,925,006.25
  5. Step 5: Solve for x
    x = 6,703,925,006.25/58,689
  6. Step 6: Final answer
    x = 114,227.96

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.