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Finding the Third Proportional to 58,386.75 and 78,454.13

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Solution

The third proportional to 58,386.75 and 78,454.13 is: 105,418.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,386.75 : 78,454.13 = 78,454.13 : x
  2. Step 2: Convert to fraction form
    58,386.75/78,454.13 = 78,454.13/x
  3. Step 3: Cross multiply
    58,386.75x = 78,454.13 × 78,454.13
  4. Step 4: Simplify right side
    58,386.75x = 6,155,049,729.52
  5. Step 5: Solve for x
    x = 6,155,049,729.52/58,386.75
  6. Step 6: Final answer
    x = 105,418.60

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.