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Finding the Third Proportional to 117,499 and 157,426

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Solution

The third proportional to 117,499 and 157,426 is: 210,920.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,499 : 157,426 = 157,426 : x
  2. Step 2: Convert to fraction form
    117,499/157,426 = 157,426/x
  3. Step 3: Cross multiply
    117,499x = 157,426 × 157,426
  4. Step 4: Simplify right side
    117,499x = 24,782,945,476
  5. Step 5: Solve for x
    x = 24,782,945,476/117,499
  6. Step 6: Final answer
    x = 210,920.48

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.