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Finding the Third Proportional to 59,312 and 92,373

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Solution

The third proportional to 59,312 and 92,373 is: 143,862.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,312 : 92,373 = 92,373 : x
  2. Step 2: Convert to fraction form
    59,312/92,373 = 92,373/x
  3. Step 3: Cross multiply
    59,312x = 92,373 × 92,373
  4. Step 4: Simplify right side
    59,312x = 8,532,771,129
  5. Step 5: Solve for x
    x = 8,532,771,129/59,312
  6. Step 6: Final answer
    x = 143,862.48

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.