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Finding the Third Proportional to 86,455 and 126,565.50

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Solution

The third proportional to 86,455 and 126,565.50 is: 185,285.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,455 : 126,565.50 = 126,565.50 : x
  2. Step 2: Convert to fraction form
    86,455/126,565.50 = 126,565.50/x
  3. Step 3: Cross multiply
    86,455x = 126,565.50 × 126,565.50
  4. Step 4: Simplify right side
    86,455x = 16,018,825,790.25
  5. Step 5: Solve for x
    x = 16,018,825,790.25/86,455
  6. Step 6: Final answer
    x = 185,285.13

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.