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Finding the Third Proportional to 71,313 and 110,913.50

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Solution

The third proportional to 71,313 and 110,913.50 is: 172,504.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,313 : 110,913.50 = 110,913.50 : x
  2. Step 2: Convert to fraction form
    71,313/110,913.50 = 110,913.50/x
  3. Step 3: Cross multiply
    71,313x = 110,913.50 × 110,913.50
  4. Step 4: Simplify right side
    71,313x = 12,301,804,482.25
  5. Step 5: Solve for x
    x = 12,301,804,482.25/71,313
  6. Step 6: Final answer
    x = 172,504.37

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.