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Finding the Third Proportional to 64,493 and 97,713

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Solution

The third proportional to 64,493 and 97,713 is: 148,044.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,493 : 97,713 = 97,713 : x
  2. Step 2: Convert to fraction form
    64,493/97,713 = 97,713/x
  3. Step 3: Cross multiply
    64,493x = 97,713 × 97,713
  4. Step 4: Simplify right side
    64,493x = 9,547,830,369
  5. Step 5: Solve for x
    x = 9,547,830,369/64,493
  6. Step 6: Final answer
    x = 148,044.44

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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.