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Finding the Third Proportional to 100,875.38 and 134,705.53

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Solution

The third proportional to 100,875.38 and 134,705.53 is: 179,881.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,875.38 : 134,705.53 = 134,705.53 : x
  2. Step 2: Convert to fraction form
    100,875.38/134,705.53 = 134,705.53/x
  3. Step 3: Cross multiply
    100,875.38x = 134,705.53 × 134,705.53
  4. Step 4: Simplify right side
    100,875.38x = 18,145,580,149.34
  5. Step 5: Solve for x
    x = 18,145,580,149.34/100,875.38
  6. Step 6: Final answer
    x = 179,881.17

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.