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Finding the Third Proportional to 60,004.13 and 96,656.63

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Solution

The third proportional to 60,004.13 and 96,656.63 is: 155,697.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,004.13 : 96,656.63 = 96,656.63 : x
  2. Step 2: Convert to fraction form
    60,004.13/96,656.63 = 96,656.63/x
  3. Step 3: Cross multiply
    60,004.13x = 96,656.63 × 96,656.63
  4. Step 4: Simplify right side
    60,004.13x = 9,342,503,156.39
  5. Step 5: Solve for x
    x = 9,342,503,156.39/60,004.13
  6. Step 6: Final answer
    x = 155,697.68

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.