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Finding the Third Proportional to 117,501 and 157,429

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Solution

The third proportional to 117,501 and 157,429 is: 210,924.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,501 : 157,429 = 157,429 : x
  2. Step 2: Convert to fraction form
    117,501/157,429 = 157,429/x
  3. Step 3: Cross multiply
    117,501x = 157,429 × 157,429
  4. Step 4: Simplify right side
    117,501x = 24,783,890,041
  5. Step 5: Solve for x
    x = 24,783,890,041/117,501
  6. Step 6: Final answer
    x = 210,924.93

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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.