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Finding the Third Proportional to 72,490 and 111,455

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Solution

The third proportional to 72,490 and 111,455 is: 171,364.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,490 : 111,455 = 111,455 : x
  2. Step 2: Convert to fraction form
    72,490/111,455 = 111,455/x
  3. Step 3: Cross multiply
    72,490x = 111,455 × 111,455
  4. Step 4: Simplify right side
    72,490x = 12,422,217,025
  5. Step 5: Solve for x
    x = 12,422,217,025/72,490
  6. Step 6: Final answer
    x = 171,364.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.