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Finding the Third Proportional to 58,406 and 88,336

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Solution

The third proportional to 58,406 and 88,336 is: 133,603.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,406 : 88,336 = 88,336 : x
  2. Step 2: Convert to fraction form
    58,406/88,336 = 88,336/x
  3. Step 3: Cross multiply
    58,406x = 88,336 × 88,336
  4. Step 4: Simplify right side
    58,406x = 7,803,248,896
  5. Step 5: Solve for x
    x = 7,803,248,896/58,406
  6. Step 6: Final answer
    x = 133,603.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.