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Finding the Third Proportional to 83,089.50 and 124,606.50

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Solution

The third proportional to 83,089.50 and 124,606.50 is: 186,868.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,089.50 : 124,606.50 = 124,606.50 : x
  2. Step 2: Convert to fraction form
    83,089.50/124,606.50 = 124,606.50/x
  3. Step 3: Cross multiply
    83,089.50x = 124,606.50 × 124,606.50
  4. Step 4: Simplify right side
    83,089.50x = 15,526,779,842.25
  5. Step 5: Solve for x
    x = 15,526,779,842.25/83,089.50
  6. Step 6: Final answer
    x = 186,868.13

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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.