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Finding the Third Proportional to 58,970.25 and 128,308.50

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Solution

The third proportional to 58,970.25 and 128,308.50 is: 279,175.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,970.25 : 128,308.50 = 128,308.50 : x
  2. Step 2: Convert to fraction form
    58,970.25/128,308.50 = 128,308.50/x
  3. Step 3: Cross multiply
    58,970.25x = 128,308.50 × 128,308.50
  4. Step 4: Simplify right side
    58,970.25x = 16,463,071,172.25
  5. Step 5: Solve for x
    x = 16,463,071,172.25/58,970.25
  6. Step 6: Final answer
    x = 279,175.88

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.