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Finding the Third Proportional to 58,334 and 88,312

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Solution

The third proportional to 58,334 and 88,312 is: 133,695.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,334 : 88,312 = 88,312 : x
  2. Step 2: Convert to fraction form
    58,334/88,312 = 88,312/x
  3. Step 3: Cross multiply
    58,334x = 88,312 × 88,312
  4. Step 4: Simplify right side
    58,334x = 7,799,009,344
  5. Step 5: Solve for x
    x = 7,799,009,344/58,334
  6. Step 6: Final answer
    x = 133,695.78

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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.