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Finding the Third Proportional to 58,578 and 90,783

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Solution

The third proportional to 58,578 and 90,783 is: 140,693.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,578 : 90,783 = 90,783 : x
  2. Step 2: Convert to fraction form
    58,578/90,783 = 90,783/x
  3. Step 3: Cross multiply
    58,578x = 90,783 × 90,783
  4. Step 4: Simplify right side
    58,578x = 8,241,553,089
  5. Step 5: Solve for x
    x = 8,241,553,089/58,578
  6. Step 6: Final answer
    x = 140,693.66

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.