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Finding the Third Proportional to 62,903.25 and 93,501

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Solution

The third proportional to 62,903.25 and 93,501 is: 138,982.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,903.25 : 93,501 = 93,501 : x
  2. Step 2: Convert to fraction form
    62,903.25/93,501 = 93,501/x
  3. Step 3: Cross multiply
    62,903.25x = 93,501 × 93,501
  4. Step 4: Simplify right side
    62,903.25x = 8,742,437,001
  5. Step 5: Solve for x
    x = 8,742,437,001/62,903.25
  6. Step 6: Final answer
    x = 138,982.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.