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Finding the Third Proportional to 101,358 and 156,024

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Solution

The third proportional to 101,358 and 156,024 is: 240,173.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,358 : 156,024 = 156,024 : x
  2. Step 2: Convert to fraction form
    101,358/156,024 = 156,024/x
  3. Step 3: Cross multiply
    101,358x = 156,024 × 156,024
  4. Step 4: Simplify right side
    101,358x = 24,343,488,576
  5. Step 5: Solve for x
    x = 24,343,488,576/101,358
  6. Step 6: Final answer
    x = 240,173.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.