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Finding the Third Proportional to 97,514 and 145,633

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Solution

The third proportional to 97,514 and 145,633 is: 217,496.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,514 : 145,633 = 145,633 : x
  2. Step 2: Convert to fraction form
    97,514/145,633 = 145,633/x
  3. Step 3: Cross multiply
    97,514x = 145,633 × 145,633
  4. Step 4: Simplify right side
    97,514x = 21,208,970,689
  5. Step 5: Solve for x
    x = 21,208,970,689/97,514
  6. Step 6: Final answer
    x = 217,496.67

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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.