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Finding the Third Proportional to 102,350 and 157,896

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Solution

The third proportional to 102,350 and 157,896 is: 243,587.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,350 : 157,896 = 157,896 : x
  2. Step 2: Convert to fraction form
    102,350/157,896 = 157,896/x
  3. Step 3: Cross multiply
    102,350x = 157,896 × 157,896
  4. Step 4: Simplify right side
    102,350x = 24,931,146,816
  5. Step 5: Solve for x
    x = 24,931,146,816/102,350
  6. Step 6: Final answer
    x = 243,587.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.