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Finding the Third Proportional to 64,300 and 97,733

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Solution

The third proportional to 64,300 and 97,733 is: 148,549.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,300 : 97,733 = 97,733 : x
  2. Step 2: Convert to fraction form
    64,300/97,733 = 97,733/x
  3. Step 3: Cross multiply
    64,300x = 97,733 × 97,733
  4. Step 4: Simplify right side
    64,300x = 9,551,739,289
  5. Step 5: Solve for x
    x = 9,551,739,289/64,300
  6. Step 6: Final answer
    x = 148,549.60

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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.