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Finding the Third Proportional to 60,731.96 and 97,026.77

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Solution

The third proportional to 60,731.96 and 97,026.77 is: 155,012.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,731.96 : 97,026.77 = 97,026.77 : x
  2. Step 2: Convert to fraction form
    60,731.96/97,026.77 = 97,026.77/x
  3. Step 3: Cross multiply
    60,731.96x = 97,026.77 × 97,026.77
  4. Step 4: Simplify right side
    60,731.96x = 9,414,193,626.66
  5. Step 5: Solve for x
    x = 9,414,193,626.66/60,731.96
  6. Step 6: Final answer
    x = 155,012.17

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.