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Finding the Third Proportional to 58,944 and 88,656

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Solution

The third proportional to 58,944 and 88,656 is: 133,344.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,944 : 88,656 = 88,656 : x
  2. Step 2: Convert to fraction form
    58,944/88,656 = 88,656/x
  3. Step 3: Cross multiply
    58,944x = 88,656 × 88,656
  4. Step 4: Simplify right side
    58,944x = 7,859,886,336
  5. Step 5: Solve for x
    x = 7,859,886,336/58,944
  6. Step 6: Final answer
    x = 133,344.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.