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Finding the Third Proportional to 58,752 and 123,248

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Solution

The third proportional to 58,752 and 123,248 is: 258,545.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,752 : 123,248 = 123,248 : x
  2. Step 2: Convert to fraction form
    58,752/123,248 = 123,248/x
  3. Step 3: Cross multiply
    58,752x = 123,248 × 123,248
  4. Step 4: Simplify right side
    58,752x = 15,190,069,504
  5. Step 5: Solve for x
    x = 15,190,069,504/58,752
  6. Step 6: Final answer
    x = 258,545.57

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.