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Finding the Third Proportional to 64,536 and 97,776

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Solution

The third proportional to 64,536 and 97,776 is: 148,136.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,536 : 97,776 = 97,776 : x
  2. Step 2: Convert to fraction form
    64,536/97,776 = 97,776/x
  3. Step 3: Cross multiply
    64,536x = 97,776 × 97,776
  4. Step 4: Simplify right side
    64,536x = 9,560,146,176
  5. Step 5: Solve for x
    x = 9,560,146,176/64,536
  6. Step 6: Final answer
    x = 148,136.64

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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.