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Finding the Third Proportional to 72,063 and 114,510

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Solution

The third proportional to 72,063 and 114,510 is: 181,959.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,063 : 114,510 = 114,510 : x
  2. Step 2: Convert to fraction form
    72,063/114,510 = 114,510/x
  3. Step 3: Cross multiply
    72,063x = 114,510 × 114,510
  4. Step 4: Simplify right side
    72,063x = 13,112,540,100
  5. Step 5: Solve for x
    x = 13,112,540,100/72,063
  6. Step 6: Final answer
    x = 181,959.40

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.