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Finding the Third Proportional to 45,580 and 97,973

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Solution

The third proportional to 45,580 and 97,973 is: 210,590.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,580 : 97,973 = 97,973 : x
  2. Step 2: Convert to fraction form
    45,580/97,973 = 97,973/x
  3. Step 3: Cross multiply
    45,580x = 97,973 × 97,973
  4. Step 4: Simplify right side
    45,580x = 9,598,708,729
  5. Step 5: Solve for x
    x = 9,598,708,729/45,580
  6. Step 6: Final answer
    x = 210,590.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.