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Finding the Third Proportional to 61,888 and 94,370

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Solution

The third proportional to 61,888 and 94,370 is: 143,900.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,888 : 94,370 = 94,370 : x
  2. Step 2: Convert to fraction form
    61,888/94,370 = 94,370/x
  3. Step 3: Cross multiply
    61,888x = 94,370 × 94,370
  4. Step 4: Simplify right side
    61,888x = 8,905,696,900
  5. Step 5: Solve for x
    x = 8,905,696,900/61,888
  6. Step 6: Final answer
    x = 143,900.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.