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Finding the Third Proportional to 58,541.06 and 83,653.59

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Solution

The third proportional to 58,541.06 and 83,653.59 is: 119,538.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,541.06 : 83,653.59 = 83,653.59 : x
  2. Step 2: Convert to fraction form
    58,541.06/83,653.59 = 83,653.59/x
  3. Step 3: Cross multiply
    58,541.06x = 83,653.59 × 83,653.59
  4. Step 4: Simplify right side
    58,541.06x = 6,997,923,747.29
  5. Step 5: Solve for x
    x = 6,997,923,747.29/58,541.06
  6. Step 6: Final answer
    x = 119,538.72

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.