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Finding the Third Proportional to 58,298.06 and 90,023.91

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Solution

The third proportional to 58,298.06 and 90,023.91 is: 139,014.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,298.06 : 90,023.91 = 90,023.91 : x
  2. Step 2: Convert to fraction form
    58,298.06/90,023.91 = 90,023.91/x
  3. Step 3: Cross multiply
    58,298.06x = 90,023.91 × 90,023.91
  4. Step 4: Simplify right side
    58,298.06x = 8,104,303,696.51
  5. Step 5: Solve for x
    x = 8,104,303,696.51/58,298.06
  6. Step 6: Final answer
    x = 139,014.97

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.