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Finding the Third Proportional to 99,688 and 142,188

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Solution

The third proportional to 99,688 and 142,188 is: 202,807.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,688 : 142,188 = 142,188 : x
  2. Step 2: Convert to fraction form
    99,688/142,188 = 142,188/x
  3. Step 3: Cross multiply
    99,688x = 142,188 × 142,188
  4. Step 4: Simplify right side
    99,688x = 20,217,427,344
  5. Step 5: Solve for x
    x = 20,217,427,344/99,688
  6. Step 6: Final answer
    x = 202,807.03

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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.