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Finding the Third Proportional to 58,768.13 and 105,871.88

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Solution

The third proportional to 58,768.13 and 105,871.88 is: 190,730.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,768.13 : 105,871.88 = 105,871.88 : x
  2. Step 2: Convert to fraction form
    58,768.13/105,871.88 = 105,871.88/x
  3. Step 3: Cross multiply
    58,768.13x = 105,871.88 × 105,871.88
  4. Step 4: Simplify right side
    58,768.13x = 11,208,853,916.02
  5. Step 5: Solve for x
    x = 11,208,853,916.02/58,768.13
  6. Step 6: Final answer
    x = 190,730.16

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.