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Finding the Third Proportional to 59,908 and 93,970

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Solution

The third proportional to 59,908 and 93,970 is: 147,398.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,908 : 93,970 = 93,970 : x
  2. Step 2: Convert to fraction form
    59,908/93,970 = 93,970/x
  3. Step 3: Cross multiply
    59,908x = 93,970 × 93,970
  4. Step 4: Simplify right side
    59,908x = 8,830,360,900
  5. Step 5: Solve for x
    x = 8,830,360,900/59,908
  6. Step 6: Final answer
    x = 147,398.69

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.