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Finding the Third Proportional to 64,407 and 97,096.50

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Solution

The third proportional to 64,407 and 97,096.50 is: 146,377.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,407 : 97,096.50 = 97,096.50 : x
  2. Step 2: Convert to fraction form
    64,407/97,096.50 = 97,096.50/x
  3. Step 3: Cross multiply
    64,407x = 97,096.50 × 97,096.50
  4. Step 4: Simplify right side
    64,407x = 9,427,730,312.25
  5. Step 5: Solve for x
    x = 9,427,730,312.25/64,407
  6. Step 6: Final answer
    x = 146,377.42

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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.