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Finding the Third Proportional to 113,010 and 166,011

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Solution

The third proportional to 113,010 and 166,011 is: 243,869.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,010 : 166,011 = 166,011 : x
  2. Step 2: Convert to fraction form
    113,010/166,011 = 166,011/x
  3. Step 3: Cross multiply
    113,010x = 166,011 × 166,011
  4. Step 4: Simplify right side
    113,010x = 27,559,652,121
  5. Step 5: Solve for x
    x = 27,559,652,121/113,010
  6. Step 6: Final answer
    x = 243,869.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.