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Finding the Third Proportional to 100,509 and 156,297

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Solution

The third proportional to 100,509 and 156,297 is: 243,050.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,509 : 156,297 = 156,297 : x
  2. Step 2: Convert to fraction form
    100,509/156,297 = 156,297/x
  3. Step 3: Cross multiply
    100,509x = 156,297 × 156,297
  4. Step 4: Simplify right side
    100,509x = 24,428,752,209
  5. Step 5: Solve for x
    x = 24,428,752,209/100,509
  6. Step 6: Final answer
    x = 243,050.40

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