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Finding the Third Proportional to 67,442.63 and 97,149.38

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Solution

The third proportional to 67,442.63 and 97,149.38 is: 139,941.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,442.63 : 97,149.38 = 97,149.38 : x
  2. Step 2: Convert to fraction form
    67,442.63/97,149.38 = 97,149.38/x
  3. Step 3: Cross multiply
    67,442.63x = 97,149.38 × 97,149.38
  4. Step 4: Simplify right side
    67,442.63x = 9,438,001,062.89
  5. Step 5: Solve for x
    x = 9,438,001,062.89/67,442.63
  6. Step 6: Final answer
    x = 139,941.19

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.