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Finding the Third Proportional to 58,254 and 87,290

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Solution

The third proportional to 58,254 and 87,290 is: 130,798.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,254 : 87,290 = 87,290 : x
  2. Step 2: Convert to fraction form
    58,254/87,290 = 87,290/x
  3. Step 3: Cross multiply
    58,254x = 87,290 × 87,290
  4. Step 4: Simplify right side
    58,254x = 7,619,544,100
  5. Step 5: Solve for x
    x = 7,619,544,100/58,254
  6. Step 6: Final answer
    x = 130,798.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.