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Finding the Third Proportional to 98,160 and 156,088

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Solution

The third proportional to 98,160 and 156,088 is: 248,201.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,160 : 156,088 = 156,088 : x
  2. Step 2: Convert to fraction form
    98,160/156,088 = 156,088/x
  3. Step 3: Cross multiply
    98,160x = 156,088 × 156,088
  4. Step 4: Simplify right side
    98,160x = 24,363,463,744
  5. Step 5: Solve for x
    x = 24,363,463,744/98,160
  6. Step 6: Final answer
    x = 248,201.55

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.