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Finding the Third Proportional to 100,875.38 and 156,097.13

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Solution

The third proportional to 100,875.38 and 156,097.13 is: 241,548.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,875.38 : 156,097.13 = 156,097.13 : x
  2. Step 2: Convert to fraction form
    100,875.38/156,097.13 = 156,097.13/x
  3. Step 3: Cross multiply
    100,875.38x = 156,097.13 × 156,097.13
  4. Step 4: Simplify right side
    100,875.38x = 24,366,312,433.27
  5. Step 5: Solve for x
    x = 24,366,312,433.27/100,875.38
  6. Step 6: Final answer
    x = 241,548.67

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Why These Related Problems?

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