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Finding the Third Proportional to 100,507 and 156,294

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Solution

The third proportional to 100,507 and 156,294 is: 243,045.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,507 : 156,294 = 156,294 : x
  2. Step 2: Convert to fraction form
    100,507/156,294 = 156,294/x
  3. Step 3: Cross multiply
    100,507x = 156,294 × 156,294
  4. Step 4: Simplify right side
    100,507x = 24,427,814,436
  5. Step 5: Solve for x
    x = 24,427,814,436/100,507
  6. Step 6: Final answer
    x = 243,045.90

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.