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Finding the Third Proportional to 64,357 and 98,450

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Solution

The third proportional to 64,357 and 98,450 is: 150,603.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,357 : 98,450 = 98,450 : x
  2. Step 2: Convert to fraction form
    64,357/98,450 = 98,450/x
  3. Step 3: Cross multiply
    64,357x = 98,450 × 98,450
  4. Step 4: Simplify right side
    64,357x = 9,692,402,500
  5. Step 5: Solve for x
    x = 9,692,402,500/64,357
  6. Step 6: Final answer
    x = 150,603.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.