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Finding the Third Proportional to 65,370 and 97,791

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Solution

The third proportional to 65,370 and 97,791 is: 146,291.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,370 : 97,791 = 97,791 : x
  2. Step 2: Convert to fraction form
    65,370/97,791 = 97,791/x
  3. Step 3: Cross multiply
    65,370x = 97,791 × 97,791
  4. Step 4: Simplify right side
    65,370x = 9,563,079,681
  5. Step 5: Solve for x
    x = 9,563,079,681/65,370
  6. Step 6: Final answer
    x = 146,291.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.