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Finding the Third Proportional to 70,053 and 152,011.50

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Solution

The third proportional to 70,053 and 152,011.50 is: 329,857.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,053 : 152,011.50 = 152,011.50 : x
  2. Step 2: Convert to fraction form
    70,053/152,011.50 = 152,011.50/x
  3. Step 3: Cross multiply
    70,053x = 152,011.50 × 152,011.50
  4. Step 4: Simplify right side
    70,053x = 23,107,496,132.25
  5. Step 5: Solve for x
    x = 23,107,496,132.25/70,053
  6. Step 6: Final answer
    x = 329,857.34

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.