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Finding the Third Proportional to 65,040 and 88,340

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Solution

The third proportional to 65,040 and 88,340 is: 119,987.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,040 : 88,340 = 88,340 : x
  2. Step 2: Convert to fraction form
    65,040/88,340 = 88,340/x
  3. Step 3: Cross multiply
    65,040x = 88,340 × 88,340
  4. Step 4: Simplify right side
    65,040x = 7,803,955,600
  5. Step 5: Solve for x
    x = 7,803,955,600/65,040
  6. Step 6: Final answer
    x = 119,987.02

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.