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Finding the Third Proportional to 92,010 and 138,472.50

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Solution

The third proportional to 92,010 and 138,472.50 is: 208,397.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,010 : 138,472.50 = 138,472.50 : x
  2. Step 2: Convert to fraction form
    92,010/138,472.50 = 138,472.50/x
  3. Step 3: Cross multiply
    92,010x = 138,472.50 × 138,472.50
  4. Step 4: Simplify right side
    92,010x = 19,174,633,256.25
  5. Step 5: Solve for x
    x = 19,174,633,256.25/92,010
  6. Step 6: Final answer
    x = 208,397.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.