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Finding the Third Proportional to 61,534.69 and 92,199.52

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Solution

The third proportional to 61,534.69 and 92,199.52 is: 138,145.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,534.69 : 92,199.52 = 92,199.52 : x
  2. Step 2: Convert to fraction form
    61,534.69/92,199.52 = 92,199.52/x
  3. Step 3: Cross multiply
    61,534.69x = 92,199.52 × 92,199.52
  4. Step 4: Simplify right side
    61,534.69x = 8,500,750,681.48
  5. Step 5: Solve for x
    x = 8,500,750,681.48/61,534.69
  6. Step 6: Final answer
    x = 138,145.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.