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Finding the Third Proportional to 110,032 and 148,585

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Solution

The third proportional to 110,032 and 148,585 is: 200,646.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,032 : 148,585 = 148,585 : x
  2. Step 2: Convert to fraction form
    110,032/148,585 = 148,585/x
  3. Step 3: Cross multiply
    110,032x = 148,585 × 148,585
  4. Step 4: Simplify right side
    110,032x = 22,077,502,225
  5. Step 5: Solve for x
    x = 22,077,502,225/110,032
  6. Step 6: Final answer
    x = 200,646.20

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.