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Finding the Third Proportional to 103,640 and 155,550

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Solution

The third proportional to 103,640 and 155,550 is: 233,460.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,640 : 155,550 = 155,550 : x
  2. Step 2: Convert to fraction form
    103,640/155,550 = 155,550/x
  3. Step 3: Cross multiply
    103,640x = 155,550 × 155,550
  4. Step 4: Simplify right side
    103,640x = 24,195,802,500
  5. Step 5: Solve for x
    x = 24,195,802,500/103,640
  6. Step 6: Final answer
    x = 233,460.08

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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.