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Finding the Third Proportional to 61,043.63 and 91,502.16

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Solution

The third proportional to 61,043.63 and 91,502.16 is: 137,158.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,043.63 : 91,502.16 = 91,502.16 : x
  2. Step 2: Convert to fraction form
    61,043.63/91,502.16 = 91,502.16/x
  3. Step 3: Cross multiply
    61,043.63x = 91,502.16 × 91,502.16
  4. Step 4: Simplify right side
    61,043.63x = 8,372,644,598.40
  5. Step 5: Solve for x
    x = 8,372,644,598.40/61,043.63
  6. Step 6: Final answer
    x = 137,158.38

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