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Finding the Third Proportional to 71,477.50 and 104,828.25

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Solution

The third proportional to 71,477.50 and 104,828.25 is: 153,740.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,477.50 : 104,828.25 = 104,828.25 : x
  2. Step 2: Convert to fraction form
    71,477.50/104,828.25 = 104,828.25/x
  3. Step 3: Cross multiply
    71,477.50x = 104,828.25 × 104,828.25
  4. Step 4: Simplify right side
    71,477.50x = 10,988,961,998.06
  5. Step 5: Solve for x
    x = 10,988,961,998.06/71,477.50
  6. Step 6: Final answer
    x = 153,740.16

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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.