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Finding the Third Proportional to 58,014 and 92,312

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Solution

The third proportional to 58,014 and 92,312 is: 146,887.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,014 : 92,312 = 92,312 : x
  2. Step 2: Convert to fraction form
    58,014/92,312 = 92,312/x
  3. Step 3: Cross multiply
    58,014x = 92,312 × 92,312
  4. Step 4: Simplify right side
    58,014x = 8,521,505,344
  5. Step 5: Solve for x
    x = 8,521,505,344/58,014
  6. Step 6: Final answer
    x = 146,887.05

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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.