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Finding the Third Proportional to 59,368 and 95,488

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Solution

The third proportional to 59,368 and 95,488 is: 153,583.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,368 : 95,488 = 95,488 : x
  2. Step 2: Convert to fraction form
    59,368/95,488 = 95,488/x
  3. Step 3: Cross multiply
    59,368x = 95,488 × 95,488
  4. Step 4: Simplify right side
    59,368x = 9,117,958,144
  5. Step 5: Solve for x
    x = 9,117,958,144/59,368
  6. Step 6: Final answer
    x = 153,583.72

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.