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Finding the Third Proportional to 104,391 and 153,423

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Solution

The third proportional to 104,391 and 153,423 is: 225,485.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,391 : 153,423 = 153,423 : x
  2. Step 2: Convert to fraction form
    104,391/153,423 = 153,423/x
  3. Step 3: Cross multiply
    104,391x = 153,423 × 153,423
  4. Step 4: Simplify right side
    104,391x = 23,538,616,929
  5. Step 5: Solve for x
    x = 23,538,616,929/104,391
  6. Step 6: Final answer
    x = 225,485.12

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.