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Finding the Third Proportional to 59,307 and 91,116.75

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Solution

The third proportional to 59,307 and 91,116.75 is: 139,987.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,307 : 91,116.75 = 91,116.75 : x
  2. Step 2: Convert to fraction form
    59,307/91,116.75 = 91,116.75/x
  3. Step 3: Cross multiply
    59,307x = 91,116.75 × 91,116.75
  4. Step 4: Simplify right side
    59,307x = 8,302,262,130.56
  5. Step 5: Solve for x
    x = 8,302,262,130.56/59,307
  6. Step 6: Final answer
    x = 139,987.90

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.