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Finding the Third Proportional to 61,459 and 93,828

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Solution

The third proportional to 61,459 and 93,828 is: 143,244.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,459 : 93,828 = 93,828 : x
  2. Step 2: Convert to fraction form
    61,459/93,828 = 93,828/x
  3. Step 3: Cross multiply
    61,459x = 93,828 × 93,828
  4. Step 4: Simplify right side
    61,459x = 8,803,693,584
  5. Step 5: Solve for x
    x = 8,803,693,584/61,459
  6. Step 6: Final answer
    x = 143,244.99

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.