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Finding the Third Proportional to 70,898.63 and 106,347.94

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Solution

The third proportional to 70,898.63 and 106,347.94 is: 159,521.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,898.63 : 106,347.94 = 106,347.94 : x
  2. Step 2: Convert to fraction form
    70,898.63/106,347.94 = 106,347.94/x
  3. Step 3: Cross multiply
    70,898.63x = 106,347.94 × 106,347.94
  4. Step 4: Simplify right side
    70,898.63x = 11,309,883,810.50
  5. Step 5: Solve for x
    x = 11,309,883,810.50/70,898.63
  6. Step 6: Final answer
    x = 159,521.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.