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Finding the Third Proportional to 58,294.13 and 86,210.44

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Solution

The third proportional to 58,294.13 and 86,210.44 is: 127,495.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,294.13 : 86,210.44 = 86,210.44 : x
  2. Step 2: Convert to fraction form
    58,294.13/86,210.44 = 86,210.44/x
  3. Step 3: Cross multiply
    58,294.13x = 86,210.44 × 86,210.44
  4. Step 4: Simplify right side
    58,294.13x = 7,432,239,533.94
  5. Step 5: Solve for x
    x = 7,432,239,533.94/58,294.13
  6. Step 6: Final answer
    x = 127,495.52

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.