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Finding the Third Proportional to 55,523 and 88,307

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Solution

The third proportional to 55,523 and 88,307 is: 140,448.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,523 : 88,307 = 88,307 : x
  2. Step 2: Convert to fraction form
    55,523/88,307 = 88,307/x
  3. Step 3: Cross multiply
    55,523x = 88,307 × 88,307
  4. Step 4: Simplify right side
    55,523x = 7,798,126,249
  5. Step 5: Solve for x
    x = 7,798,126,249/55,523
  6. Step 6: Final answer
    x = 140,448.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.