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Finding the Third Proportional to 64,264 and 97,300

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Solution

The third proportional to 64,264 and 97,300 is: 147,318.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,264 : 97,300 = 97,300 : x
  2. Step 2: Convert to fraction form
    64,264/97,300 = 97,300/x
  3. Step 3: Cross multiply
    64,264x = 97,300 × 97,300
  4. Step 4: Simplify right side
    64,264x = 9,467,290,000
  5. Step 5: Solve for x
    x = 9,467,290,000/64,264
  6. Step 6: Final answer
    x = 147,318.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.