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Finding the Third Proportional to 64,856 and 97,140

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Solution

The third proportional to 64,856 and 97,140 is: 145,494.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,856 : 97,140 = 97,140 : x
  2. Step 2: Convert to fraction form
    64,856/97,140 = 97,140/x
  3. Step 3: Cross multiply
    64,856x = 97,140 × 97,140
  4. Step 4: Simplify right side
    64,856x = 9,436,179,600
  5. Step 5: Solve for x
    x = 9,436,179,600/64,856
  6. Step 6: Final answer
    x = 145,494.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.