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Finding the Third Proportional to 100,024.50 and 154,776

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Solution

The third proportional to 100,024.50 and 154,776 is: 239,497.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,024.50 : 154,776 = 154,776 : x
  2. Step 2: Convert to fraction form
    100,024.50/154,776 = 154,776/x
  3. Step 3: Cross multiply
    100,024.50x = 154,776 × 154,776
  4. Step 4: Simplify right side
    100,024.50x = 23,955,610,176
  5. Step 5: Solve for x
    x = 23,955,610,176/100,024.50
  6. Step 6: Final answer
    x = 239,497.42

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.