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Finding the Third Proportional to 59,302.13 and 78,382.69

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Solution

The third proportional to 59,302.13 and 78,382.69 is: 103,602.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,302.13 : 78,382.69 = 78,382.69 : x
  2. Step 2: Convert to fraction form
    59,302.13/78,382.69 = 78,382.69/x
  3. Step 3: Cross multiply
    59,302.13x = 78,382.69 × 78,382.69
  4. Step 4: Simplify right side
    59,302.13x = 6,143,845,699.72
  5. Step 5: Solve for x
    x = 6,143,845,699.72/59,302.13
  6. Step 6: Final answer
    x = 103,602.45

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.