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Finding the Third Proportional to 64,413 and 97,326

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Solution

The third proportional to 64,413 and 97,326 is: 147,056.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,413 : 97,326 = 97,326 : x
  2. Step 2: Convert to fraction form
    64,413/97,326 = 97,326/x
  3. Step 3: Cross multiply
    64,413x = 97,326 × 97,326
  4. Step 4: Simplify right side
    64,413x = 9,472,350,276
  5. Step 5: Solve for x
    x = 9,472,350,276/64,413
  6. Step 6: Final answer
    x = 147,056.50

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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.