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Finding the Third Proportional to 101,688 and 155,558

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Solution

The third proportional to 101,688 and 155,558 is: 237,966.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,688 : 155,558 = 155,558 : x
  2. Step 2: Convert to fraction form
    101,688/155,558 = 155,558/x
  3. Step 3: Cross multiply
    101,688x = 155,558 × 155,558
  4. Step 4: Simplify right side
    101,688x = 24,198,291,364
  5. Step 5: Solve for x
    x = 24,198,291,364/101,688
  6. Step 6: Final answer
    x = 237,966.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.