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Finding the Third Proportional to 58,815 and 138,820.50

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Solution

The third proportional to 58,815 and 138,820.50 is: 327,656.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,815 : 138,820.50 = 138,820.50 : x
  2. Step 2: Convert to fraction form
    58,815/138,820.50 = 138,820.50/x
  3. Step 3: Cross multiply
    58,815x = 138,820.50 × 138,820.50
  4. Step 4: Simplify right side
    58,815x = 19,271,131,220.25
  5. Step 5: Solve for x
    x = 19,271,131,220.25/58,815
  6. Step 6: Final answer
    x = 327,656.74

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.