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Finding the Third Proportional to 112,700 and 157,554

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Solution

The third proportional to 112,700 and 157,554 is: 220,259.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,700 : 157,554 = 157,554 : x
  2. Step 2: Convert to fraction form
    112,700/157,554 = 157,554/x
  3. Step 3: Cross multiply
    112,700x = 157,554 × 157,554
  4. Step 4: Simplify right side
    112,700x = 24,823,262,916
  5. Step 5: Solve for x
    x = 24,823,262,916/112,700
  6. Step 6: Final answer
    x = 220,259.65

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.