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Finding the Third Proportional to 59,065.31 and 94,748.06

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Solution

The third proportional to 59,065.31 and 94,748.06 is: 151,987.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,065.31 : 94,748.06 = 94,748.06 : x
  2. Step 2: Convert to fraction form
    59,065.31/94,748.06 = 94,748.06/x
  3. Step 3: Cross multiply
    59,065.31x = 94,748.06 × 94,748.06
  4. Step 4: Simplify right side
    59,065.31x = 8,977,195,347.50
  5. Step 5: Solve for x
    x = 8,977,195,347.50/59,065.31
  6. Step 6: Final answer
    x = 151,987.60

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.