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Finding the Third Proportional to 44,237 and 93,658

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Solution

The third proportional to 44,237 and 93,658 is: 198,291.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,237 : 93,658 = 93,658 : x
  2. Step 2: Convert to fraction form
    44,237/93,658 = 93,658/x
  3. Step 3: Cross multiply
    44,237x = 93,658 × 93,658
  4. Step 4: Simplify right side
    44,237x = 8,771,820,964
  5. Step 5: Solve for x
    x = 8,771,820,964/44,237
  6. Step 6: Final answer
    x = 198,291.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.