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Finding the Third Proportional to 58,752 and 88,146

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Solution

The third proportional to 58,752 and 88,146 is: 132,246.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,752 : 88,146 = 88,146 : x
  2. Step 2: Convert to fraction form
    58,752/88,146 = 88,146/x
  3. Step 3: Cross multiply
    58,752x = 88,146 × 88,146
  4. Step 4: Simplify right side
    58,752x = 7,769,717,316
  5. Step 5: Solve for x
    x = 7,769,717,316/58,752
  6. Step 6: Final answer
    x = 132,246.01

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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.