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Finding the Third Proportional to 58,738 and 94,577

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Solution

The third proportional to 58,738 and 94,577 is: 152,283.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,738 : 94,577 = 94,577 : x
  2. Step 2: Convert to fraction form
    58,738/94,577 = 94,577/x
  3. Step 3: Cross multiply
    58,738x = 94,577 × 94,577
  4. Step 4: Simplify right side
    58,738x = 8,944,808,929
  5. Step 5: Solve for x
    x = 8,944,808,929/58,738
  6. Step 6: Final answer
    x = 152,283.17

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.