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Finding the Third Proportional to 86,380 and 114,798

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Solution

The third proportional to 86,380 and 114,798 is: 152,565.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,380 : 114,798 = 114,798 : x
  2. Step 2: Convert to fraction form
    86,380/114,798 = 114,798/x
  3. Step 3: Cross multiply
    86,380x = 114,798 × 114,798
  4. Step 4: Simplify right side
    86,380x = 13,178,580,804
  5. Step 5: Solve for x
    x = 13,178,580,804/86,380
  6. Step 6: Final answer
    x = 152,565.19

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.