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Finding the Third Proportional to 97,078 and 205,726

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Solution

The third proportional to 97,078 and 205,726 is: 435,970.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,078 : 205,726 = 205,726 : x
  2. Step 2: Convert to fraction form
    97,078/205,726 = 205,726/x
  3. Step 3: Cross multiply
    97,078x = 205,726 × 205,726
  4. Step 4: Simplify right side
    97,078x = 42,323,187,076
  5. Step 5: Solve for x
    x = 42,323,187,076/97,078
  6. Step 6: Final answer
    x = 435,970.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.