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Finding the Third Proportional to 47,506 and 100,841.75

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Solution

The third proportional to 47,506 and 100,841.75 is: 214,058.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,506 : 100,841.75 = 100,841.75 : x
  2. Step 2: Convert to fraction form
    47,506/100,841.75 = 100,841.75/x
  3. Step 3: Cross multiply
    47,506x = 100,841.75 × 100,841.75
  4. Step 4: Simplify right side
    47,506x = 10,169,058,543.06
  5. Step 5: Solve for x
    x = 10,169,058,543.06/47,506
  6. Step 6: Final answer
    x = 214,058.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.