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Finding the Third Proportional to 59,913 and 94,672.50

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Solution

The third proportional to 59,913 and 94,672.50 is: 149,598.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,913 : 94,672.50 = 94,672.50 : x
  2. Step 2: Convert to fraction form
    59,913/94,672.50 = 94,672.50/x
  3. Step 3: Cross multiply
    59,913x = 94,672.50 × 94,672.50
  4. Step 4: Simplify right side
    59,913x = 8,962,882,256.25
  5. Step 5: Solve for x
    x = 8,962,882,256.25/59,913
  6. Step 6: Final answer
    x = 149,598.29

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.