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Finding the Third Proportional to 70,014 and 105,526.50

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Solution

The third proportional to 70,014 and 105,526.50 is: 159,051.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,014 : 105,526.50 = 105,526.50 : x
  2. Step 2: Convert to fraction form
    70,014/105,526.50 = 105,526.50/x
  3. Step 3: Cross multiply
    70,014x = 105,526.50 × 105,526.50
  4. Step 4: Simplify right side
    70,014x = 11,135,842,202.25
  5. Step 5: Solve for x
    x = 11,135,842,202.25/70,014
  6. Step 6: Final answer
    x = 159,051.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.