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Finding the Third Proportional to 56,496.50 and 87,553

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Solution

The third proportional to 56,496.50 and 87,553 is: 135,681.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,496.50 : 87,553 = 87,553 : x
  2. Step 2: Convert to fraction form
    56,496.50/87,553 = 87,553/x
  3. Step 3: Cross multiply
    56,496.50x = 87,553 × 87,553
  4. Step 4: Simplify right side
    56,496.50x = 7,665,527,809
  5. Step 5: Solve for x
    x = 7,665,527,809/56,496.50
  6. Step 6: Final answer
    x = 135,681.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.