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Finding the Third Proportional to 100,748 and 151,138

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Solution

The third proportional to 100,748 and 151,138 is: 226,731.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,748 : 151,138 = 151,138 : x
  2. Step 2: Convert to fraction form
    100,748/151,138 = 151,138/x
  3. Step 3: Cross multiply
    100,748x = 151,138 × 151,138
  4. Step 4: Simplify right side
    100,748x = 22,842,695,044
  5. Step 5: Solve for x
    x = 22,842,695,044/100,748
  6. Step 6: Final answer
    x = 226,731.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.