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Finding the Third Proportional to 70,031 and 94,354.50

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Solution

The third proportional to 70,031 and 94,354.50 is: 127,126.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,031 : 94,354.50 = 94,354.50 : x
  2. Step 2: Convert to fraction form
    70,031/94,354.50 = 94,354.50/x
  3. Step 3: Cross multiply
    70,031x = 94,354.50 × 94,354.50
  4. Step 4: Simplify right side
    70,031x = 8,902,771,670.25
  5. Step 5: Solve for x
    x = 8,902,771,670.25/70,031
  6. Step 6: Final answer
    x = 127,126.15

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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.