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Finding the Third Proportional to 124,534 and 194,578

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Solution

The third proportional to 124,534 and 194,578 is: 304,018.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,534 : 194,578 = 194,578 : x
  2. Step 2: Convert to fraction form
    124,534/194,578 = 194,578/x
  3. Step 3: Cross multiply
    124,534x = 194,578 × 194,578
  4. Step 4: Simplify right side
    124,534x = 37,860,598,084
  5. Step 5: Solve for x
    x = 37,860,598,084/124,534
  6. Step 6: Final answer
    x = 304,018.16

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.