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Finding the Third Proportional to 102,311 and 157,840

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Solution

The third proportional to 102,311 and 157,840 is: 243,507.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,311 : 157,840 = 157,840 : x
  2. Step 2: Convert to fraction form
    102,311/157,840 = 157,840/x
  3. Step 3: Cross multiply
    102,311x = 157,840 × 157,840
  4. Step 4: Simplify right side
    102,311x = 24,913,465,600
  5. Step 5: Solve for x
    x = 24,913,465,600/102,311
  6. Step 6: Final answer
    x = 243,507.20

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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.