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Finding the Third Proportional to 65,020 and 88,314

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Solution

The third proportional to 65,020 and 88,314 is: 119,953.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,020 : 88,314 = 88,314 : x
  2. Step 2: Convert to fraction form
    65,020/88,314 = 88,314/x
  3. Step 3: Cross multiply
    65,020x = 88,314 × 88,314
  4. Step 4: Simplify right side
    65,020x = 7,799,362,596
  5. Step 5: Solve for x
    x = 7,799,362,596/65,020
  6. Step 6: Final answer
    x = 119,953.29

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Why These Related Problems?

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