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Finding the Third Proportional to 100,468 and 147,678

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Solution

The third proportional to 100,468 and 147,678 is: 217,072.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,468 : 147,678 = 147,678 : x
  2. Step 2: Convert to fraction form
    100,468/147,678 = 147,678/x
  3. Step 3: Cross multiply
    100,468x = 147,678 × 147,678
  4. Step 4: Simplify right side
    100,468x = 21,808,791,684
  5. Step 5: Solve for x
    x = 21,808,791,684/100,468
  6. Step 6: Final answer
    x = 217,072.02

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.