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Finding the Third Proportional to 51,866.16 and 78,275.53

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Solution

The third proportional to 51,866.16 and 78,275.53 is: 118,132.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,866.16 : 78,275.53 = 78,275.53 : x
  2. Step 2: Convert to fraction form
    51,866.16/78,275.53 = 78,275.53/x
  3. Step 3: Cross multiply
    51,866.16x = 78,275.53 × 78,275.53
  4. Step 4: Simplify right side
    51,866.16x = 6,127,058,792.47
  5. Step 5: Solve for x
    x = 6,127,058,792.47/51,866.16
  6. Step 6: Final answer
    x = 118,132.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.