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Finding the Third Proportional to 58,645.13 and 128,706.75

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Solution

The third proportional to 58,645.13 and 128,706.75 is: 282,468.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,645.13 : 128,706.75 = 128,706.75 : x
  2. Step 2: Convert to fraction form
    58,645.13/128,706.75 = 128,706.75/x
  3. Step 3: Cross multiply
    58,645.13x = 128,706.75 × 128,706.75
  4. Step 4: Simplify right side
    58,645.13x = 16,565,427,495.56
  5. Step 5: Solve for x
    x = 16,565,427,495.56/58,645.13
  6. Step 6: Final answer
    x = 282,468.96

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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.