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Finding the Third Proportional to 84,759 and 124,510.50

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Solution

The third proportional to 84,759 and 124,510.50 is: 182,905.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,759 : 124,510.50 = 124,510.50 : x
  2. Step 2: Convert to fraction form
    84,759/124,510.50 = 124,510.50/x
  3. Step 3: Cross multiply
    84,759x = 124,510.50 × 124,510.50
  4. Step 4: Simplify right side
    84,759x = 15,502,864,610.25
  5. Step 5: Solve for x
    x = 15,502,864,610.25/84,759
  6. Step 6: Final answer
    x = 182,905.23

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.