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Finding the Third Proportional to 93,314 and 125,715

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Solution

The third proportional to 93,314 and 125,715 is: 169,366.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,314 : 125,715 = 125,715 : x
  2. Step 2: Convert to fraction form
    93,314/125,715 = 125,715/x
  3. Step 3: Cross multiply
    93,314x = 125,715 × 125,715
  4. Step 4: Simplify right side
    93,314x = 15,804,261,225
  5. Step 5: Solve for x
    x = 15,804,261,225/93,314
  6. Step 6: Final answer
    x = 169,366.45

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.