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Finding the Third Proportional to 102,257 and 156,970

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Solution

The third proportional to 102,257 and 156,970 is: 240,957.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,257 : 156,970 = 156,970 : x
  2. Step 2: Convert to fraction form
    102,257/156,970 = 156,970/x
  3. Step 3: Cross multiply
    102,257x = 156,970 × 156,970
  4. Step 4: Simplify right side
    102,257x = 24,639,580,900
  5. Step 5: Solve for x
    x = 24,639,580,900/102,257
  6. Step 6: Final answer
    x = 240,957.40

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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.