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Finding the Third Proportional to 65,184 and 97,487

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Solution

The third proportional to 65,184 and 97,487 is: 145,798.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,184 : 97,487 = 97,487 : x
  2. Step 2: Convert to fraction form
    65,184/97,487 = 97,487/x
  3. Step 3: Cross multiply
    65,184x = 97,487 × 97,487
  4. Step 4: Simplify right side
    65,184x = 9,503,715,169
  5. Step 5: Solve for x
    x = 9,503,715,169/65,184
  6. Step 6: Final answer
    x = 145,798.28

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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.