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Finding the Third Proportional to 65,184.75 and 92,980.13

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Solution

The third proportional to 65,184.75 and 92,980.13 is: 132,627.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,184.75 : 92,980.13 = 92,980.13 : x
  2. Step 2: Convert to fraction form
    65,184.75/92,980.13 = 92,980.13/x
  3. Step 3: Cross multiply
    65,184.75x = 92,980.13 × 92,980.13
  4. Step 4: Simplify right side
    65,184.75x = 8,645,303,645.02
  5. Step 5: Solve for x
    x = 8,645,303,645.02/65,184.75
  6. Step 6: Final answer
    x = 132,627.70

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.