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Finding the Third Proportional to 105,060 and 157,697

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Solution

The third proportional to 105,060 and 157,697 is: 236,706.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,060 : 157,697 = 157,697 : x
  2. Step 2: Convert to fraction form
    105,060/157,697 = 157,697/x
  3. Step 3: Cross multiply
    105,060x = 157,697 × 157,697
  4. Step 4: Simplify right side
    105,060x = 24,868,343,809
  5. Step 5: Solve for x
    x = 24,868,343,809/105,060
  6. Step 6: Final answer
    x = 236,706.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.