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Finding the Third Proportional to 42,197.63 and 61,671.38

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Solution

The third proportional to 42,197.63 and 61,671.38 is: 90,132.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,197.63 : 61,671.38 = 61,671.38 : x
  2. Step 2: Convert to fraction form
    42,197.63/61,671.38 = 61,671.38/x
  3. Step 3: Cross multiply
    42,197.63x = 61,671.38 × 61,671.38
  4. Step 4: Simplify right side
    42,197.63x = 3,803,358,494.39
  5. Step 5: Solve for x
    x = 3,803,358,494.39/42,197.63
  6. Step 6: Final answer
    x = 90,132.05

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.