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Finding the Third Proportional to 59,472 and 130,607

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Solution

The third proportional to 59,472 and 130,607 is: 286,827.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,472 : 130,607 = 130,607 : x
  2. Step 2: Convert to fraction form
    59,472/130,607 = 130,607/x
  3. Step 3: Cross multiply
    59,472x = 130,607 × 130,607
  4. Step 4: Simplify right side
    59,472x = 17,058,188,449
  5. Step 5: Solve for x
    x = 17,058,188,449/59,472
  6. Step 6: Final answer
    x = 286,827.22

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.