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Finding the Third Proportional to 70,572 and 152,664

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Solution

The third proportional to 70,572 and 152,664 is: 330,248.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,572 : 152,664 = 152,664 : x
  2. Step 2: Convert to fraction form
    70,572/152,664 = 152,664/x
  3. Step 3: Cross multiply
    70,572x = 152,664 × 152,664
  4. Step 4: Simplify right side
    70,572x = 23,306,296,896
  5. Step 5: Solve for x
    x = 23,306,296,896/70,572
  6. Step 6: Final answer
    x = 330,248.50

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.