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Finding the Third Proportional to 58,528 and 138,107.50

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Solution

The third proportional to 58,528 and 138,107.50 is: 325,889.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,528 : 138,107.50 = 138,107.50 : x
  2. Step 2: Convert to fraction form
    58,528/138,107.50 = 138,107.50/x
  3. Step 3: Cross multiply
    58,528x = 138,107.50 × 138,107.50
  4. Step 4: Simplify right side
    58,528x = 19,073,681,556.25
  5. Step 5: Solve for x
    x = 19,073,681,556.25/58,528
  6. Step 6: Final answer
    x = 325,889.86

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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.