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Finding the Third Proportional to 56,436.75 and 122,603.63

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Solution

The third proportional to 56,436.75 and 122,603.63 is: 266,345.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,436.75 : 122,603.63 = 122,603.63 : x
  2. Step 2: Convert to fraction form
    56,436.75/122,603.63 = 122,603.63/x
  3. Step 3: Cross multiply
    56,436.75x = 122,603.63 × 122,603.63
  4. Step 4: Simplify right side
    56,436.75x = 15,031,648,863.14
  5. Step 5: Solve for x
    x = 15,031,648,863.14/56,436.75
  6. Step 6: Final answer
    x = 266,345.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.