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Finding the Third Proportional to 144,612 and 148,986

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Solution

The third proportional to 144,612 and 148,986 is: 153,492.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,612 : 148,986 = 148,986 : x
  2. Step 2: Convert to fraction form
    144,612/148,986 = 148,986/x
  3. Step 3: Cross multiply
    144,612x = 148,986 × 148,986
  4. Step 4: Simplify right side
    144,612x = 22,196,828,196
  5. Step 5: Solve for x
    x = 22,196,828,196/144,612
  6. Step 6: Final answer
    x = 153,492.30

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Why These Related Problems?

These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.