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Finding the Third Proportional to 59,664 and 91,776

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Solution

The third proportional to 59,664 and 91,776 is: 141,171.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,664 : 91,776 = 91,776 : x
  2. Step 2: Convert to fraction form
    59,664/91,776 = 91,776/x
  3. Step 3: Cross multiply
    59,664x = 91,776 × 91,776
  4. Step 4: Simplify right side
    59,664x = 8,422,834,176
  5. Step 5: Solve for x
    x = 8,422,834,176/59,664
  6. Step 6: Final answer
    x = 141,171.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.