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Finding the Third Proportional to 64,048.50 and 93,996

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Solution

The third proportional to 64,048.50 and 93,996 is: 137,946.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,048.50 : 93,996 = 93,996 : x
  2. Step 2: Convert to fraction form
    64,048.50/93,996 = 93,996/x
  3. Step 3: Cross multiply
    64,048.50x = 93,996 × 93,996
  4. Step 4: Simplify right side
    64,048.50x = 8,835,248,016
  5. Step 5: Solve for x
    x = 8,835,248,016/64,048.50
  6. Step 6: Final answer
    x = 137,946.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.