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Finding the Third Proportional to 71,604 and 110,646

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Solution

The third proportional to 71,604 and 110,646 is: 170,975.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,604 : 110,646 = 110,646 : x
  2. Step 2: Convert to fraction form
    71,604/110,646 = 110,646/x
  3. Step 3: Cross multiply
    71,604x = 110,646 × 110,646
  4. Step 4: Simplify right side
    71,604x = 12,242,537,316
  5. Step 5: Solve for x
    x = 12,242,537,316/71,604
  6. Step 6: Final answer
    x = 170,975.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.