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Finding the Third Proportional to 65,730 and 97,851

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Solution

The third proportional to 65,730 and 97,851 is: 145,668.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,730 : 97,851 = 97,851 : x
  2. Step 2: Convert to fraction form
    65,730/97,851 = 97,851/x
  3. Step 3: Cross multiply
    65,730x = 97,851 × 97,851
  4. Step 4: Simplify right side
    65,730x = 9,574,818,201
  5. Step 5: Solve for x
    x = 9,574,818,201/65,730
  6. Step 6: Final answer
    x = 145,668.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.