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Finding the Third Proportional to 91,125.71 and 122,672.76

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Solution

The third proportional to 91,125.71 and 122,672.76 is: 165,141.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,125.71 : 122,672.76 = 122,672.76 : x
  2. Step 2: Convert to fraction form
    91,125.71/122,672.76 = 122,672.76/x
  3. Step 3: Cross multiply
    91,125.71x = 122,672.76 × 122,672.76
  4. Step 4: Simplify right side
    91,125.71x = 15,048,605,988.51
  5. Step 5: Solve for x
    x = 15,048,605,988.51/91,125.71
  6. Step 6: Final answer
    x = 165,141.16

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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.