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Finding the Third Proportional to 106,969 and 187,688

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Solution

The third proportional to 106,969 and 187,688 is: 329,317.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,969 : 187,688 = 187,688 : x
  2. Step 2: Convert to fraction form
    106,969/187,688 = 187,688/x
  3. Step 3: Cross multiply
    106,969x = 187,688 × 187,688
  4. Step 4: Simplify right side
    106,969x = 35,226,785,344
  5. Step 5: Solve for x
    x = 35,226,785,344/106,969
  6. Step 6: Final answer
    x = 329,317.70

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.