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Finding the Third Proportional to 127,597.78 and 153,705.09

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Solution

The third proportional to 127,597.78 and 153,705.09 is: 185,154.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,597.78 : 153,705.09 = 153,705.09 : x
  2. Step 2: Convert to fraction form
    127,597.78/153,705.09 = 153,705.09/x
  3. Step 3: Cross multiply
    127,597.78x = 153,705.09 × 153,705.09
  4. Step 4: Simplify right side
    127,597.78x = 23,625,255,844.70
  5. Step 5: Solve for x
    x = 23,625,255,844.70/127,597.78
  6. Step 6: Final answer
    x = 185,154.13

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.