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Finding the Third Proportional to 80,730 and 124,501.50

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Solution

The third proportional to 80,730 and 124,501.50 is: 192,005.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,730 : 124,501.50 = 124,501.50 : x
  2. Step 2: Convert to fraction form
    80,730/124,501.50 = 124,501.50/x
  3. Step 3: Cross multiply
    80,730x = 124,501.50 × 124,501.50
  4. Step 4: Simplify right side
    80,730x = 15,500,623,502.25
  5. Step 5: Solve for x
    x = 15,500,623,502.25/80,730
  6. Step 6: Final answer
    x = 192,005.74

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.