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Finding the Third Proportional to 55,905.19 and 75,246.47

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Solution

The third proportional to 55,905.19 and 75,246.47 is: 101,279.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,905.19 : 75,246.47 = 75,246.47 : x
  2. Step 2: Convert to fraction form
    55,905.19/75,246.47 = 75,246.47/x
  3. Step 3: Cross multiply
    55,905.19x = 75,246.47 × 75,246.47
  4. Step 4: Simplify right side
    55,905.19x = 5,662,031,059.34
  5. Step 5: Solve for x
    x = 5,662,031,059.34/55,905.19
  6. Step 6: Final answer
    x = 101,279.17

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.