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Finding the Third Proportional to 58,288 and 104,580.50

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Solution

The third proportional to 58,288 and 104,580.50 is: 187,638.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,288 : 104,580.50 = 104,580.50 : x
  2. Step 2: Convert to fraction form
    58,288/104,580.50 = 104,580.50/x
  3. Step 3: Cross multiply
    58,288x = 104,580.50 × 104,580.50
  4. Step 4: Simplify right side
    58,288x = 10,937,080,980.25
  5. Step 5: Solve for x
    x = 10,937,080,980.25/58,288
  6. Step 6: Final answer
    x = 187,638.64

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.