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Finding the Third Proportional to 71,030 and 157,824.50

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Solution

The third proportional to 71,030 and 157,824.50 is: 350,676.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,030 : 157,824.50 = 157,824.50 : x
  2. Step 2: Convert to fraction form
    71,030/157,824.50 = 157,824.50/x
  3. Step 3: Cross multiply
    71,030x = 157,824.50 × 157,824.50
  4. Step 4: Simplify right side
    71,030x = 24,908,572,800.25
  5. Step 5: Solve for x
    x = 24,908,572,800.25/71,030
  6. Step 6: Final answer
    x = 350,676.80

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.