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Finding the Third Proportional to 42,148.13 and 92,345.63

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Solution

The third proportional to 42,148.13 and 92,345.63 is: 202,327.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,148.13 : 92,345.63 = 92,345.63 : x
  2. Step 2: Convert to fraction form
    42,148.13/92,345.63 = 92,345.63/x
  3. Step 3: Cross multiply
    42,148.13x = 92,345.63 × 92,345.63
  4. Step 4: Simplify right side
    42,148.13x = 8,527,714,456.64
  5. Step 5: Solve for x
    x = 8,527,714,456.64/42,148.13
  6. Step 6: Final answer
    x = 202,327.26

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.