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Finding the Third Proportional to 58,968 and 93,783

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Solution

The third proportional to 58,968 and 93,783 is: 149,152.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,968 : 93,783 = 93,783 : x
  2. Step 2: Convert to fraction form
    58,968/93,783 = 93,783/x
  3. Step 3: Cross multiply
    58,968x = 93,783 × 93,783
  4. Step 4: Simplify right side
    58,968x = 8,795,251,089
  5. Step 5: Solve for x
    x = 8,795,251,089/58,968
  6. Step 6: Final answer
    x = 149,152.95

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.