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Finding the Third Proportional to 45,437 and 93,139

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Solution

The third proportional to 45,437 and 93,139 is: 190,920.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,437 : 93,139 = 93,139 : x
  2. Step 2: Convert to fraction form
    45,437/93,139 = 93,139/x
  3. Step 3: Cross multiply
    45,437x = 93,139 × 93,139
  4. Step 4: Simplify right side
    45,437x = 8,674,873,321
  5. Step 5: Solve for x
    x = 8,674,873,321/45,437
  6. Step 6: Final answer
    x = 190,920.91

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.