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Finding the Third Proportional to 78,490 and 115,431

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Solution

The third proportional to 78,490 and 115,431 is: 169,758.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,490 : 115,431 = 115,431 : x
  2. Step 2: Convert to fraction form
    78,490/115,431 = 115,431/x
  3. Step 3: Cross multiply
    78,490x = 115,431 × 115,431
  4. Step 4: Simplify right side
    78,490x = 13,324,315,761
  5. Step 5: Solve for x
    x = 13,324,315,761/78,490
  6. Step 6: Final answer
    x = 169,758.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.