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Finding the Third Proportional to 113,366.25 and 169,457.06

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Solution

The third proportional to 113,366.25 and 169,457.06 is: 253,300.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,366.25 : 169,457.06 = 169,457.06 : x
  2. Step 2: Convert to fraction form
    113,366.25/169,457.06 = 169,457.06/x
  3. Step 3: Cross multiply
    113,366.25x = 169,457.06 × 169,457.06
  4. Step 4: Simplify right side
    113,366.25x = 28,715,696,031.13
  5. Step 5: Solve for x
    x = 28,715,696,031.13/113,366.25
  6. Step 6: Final answer
    x = 253,300.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.