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Finding the Third Proportional to 64,720 and 97,536

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Solution

The third proportional to 64,720 and 97,536 is: 146,991.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,720 : 97,536 = 97,536 : x
  2. Step 2: Convert to fraction form
    64,720/97,536 = 97,536/x
  3. Step 3: Cross multiply
    64,720x = 97,536 × 97,536
  4. Step 4: Simplify right side
    64,720x = 9,513,271,296
  5. Step 5: Solve for x
    x = 9,513,271,296/64,720
  6. Step 6: Final answer
    x = 146,991.21

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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.