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Finding the Third Proportional to 58,998 and 90,292.50

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Solution

The third proportional to 58,998 and 90,292.50 is: 138,186.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,998 : 90,292.50 = 90,292.50 : x
  2. Step 2: Convert to fraction form
    58,998/90,292.50 = 90,292.50/x
  3. Step 3: Cross multiply
    58,998x = 90,292.50 × 90,292.50
  4. Step 4: Simplify right side
    58,998x = 8,152,735,556.25
  5. Step 5: Solve for x
    x = 8,152,735,556.25/58,998
  6. Step 6: Final answer
    x = 138,186.64

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.