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Finding the Third Proportional to 64,533 and 97,772

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Solution

The third proportional to 64,533 and 97,772 is: 148,131.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,533 : 97,772 = 97,772 : x
  2. Step 2: Convert to fraction form
    64,533/97,772 = 97,772/x
  3. Step 3: Cross multiply
    64,533x = 97,772 × 97,772
  4. Step 4: Simplify right side
    64,533x = 9,559,363,984
  5. Step 5: Solve for x
    x = 9,559,363,984/64,533
  6. Step 6: Final answer
    x = 148,131.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.