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Finding the Third Proportional to 102,585 and 157,470

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Solution

The third proportional to 102,585 and 157,470 is: 241,719.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,585 : 157,470 = 157,470 : x
  2. Step 2: Convert to fraction form
    102,585/157,470 = 157,470/x
  3. Step 3: Cross multiply
    102,585x = 157,470 × 157,470
  4. Step 4: Simplify right side
    102,585x = 24,796,800,900
  5. Step 5: Solve for x
    x = 24,796,800,900/102,585
  6. Step 6: Final answer
    x = 241,719.56

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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.