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Finding the Third Proportional to 59,295 and 139,966.50

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Solution

The third proportional to 59,295 and 139,966.50 is: 330,392.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,295 : 139,966.50 = 139,966.50 : x
  2. Step 2: Convert to fraction form
    59,295/139,966.50 = 139,966.50/x
  3. Step 3: Cross multiply
    59,295x = 139,966.50 × 139,966.50
  4. Step 4: Simplify right side
    59,295x = 19,590,621,122.25
  5. Step 5: Solve for x
    x = 19,590,621,122.25/59,295
  6. Step 6: Final answer
    x = 330,392.46

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.