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Finding the Third Proportional to 144,468 and 156,678

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Solution

The third proportional to 144,468 and 156,678 is: 169,919.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,468 : 156,678 = 156,678 : x
  2. Step 2: Convert to fraction form
    144,468/156,678 = 156,678/x
  3. Step 3: Cross multiply
    144,468x = 156,678 × 156,678
  4. Step 4: Simplify right side
    144,468x = 24,547,995,684
  5. Step 5: Solve for x
    x = 24,547,995,684/144,468
  6. Step 6: Final answer
    x = 169,919.95

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These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.