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Finding the Third Proportional to 61,352 and 91,488

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Solution

The third proportional to 61,352 and 91,488 is: 136,426.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,352 : 91,488 = 91,488 : x
  2. Step 2: Convert to fraction form
    61,352/91,488 = 91,488/x
  3. Step 3: Cross multiply
    61,352x = 91,488 × 91,488
  4. Step 4: Simplify right side
    61,352x = 8,370,054,144
  5. Step 5: Solve for x
    x = 8,370,054,144/61,352
  6. Step 6: Final answer
    x = 136,426.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.