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Finding the Third Proportional to 65,018 and 97,080

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Solution

The third proportional to 65,018 and 97,080 is: 144,952.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,018 : 97,080 = 97,080 : x
  2. Step 2: Convert to fraction form
    65,018/97,080 = 97,080/x
  3. Step 3: Cross multiply
    65,018x = 97,080 × 97,080
  4. Step 4: Simplify right side
    65,018x = 9,424,526,400
  5. Step 5: Solve for x
    x = 9,424,526,400/65,018
  6. Step 6: Final answer
    x = 144,952.57

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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.