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Finding the Third Proportional to 59,262 and 97,881.50

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Solution

The third proportional to 59,262 and 97,881.50 is: 161,668.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,262 : 97,881.50 = 97,881.50 : x
  2. Step 2: Convert to fraction form
    59,262/97,881.50 = 97,881.50/x
  3. Step 3: Cross multiply
    59,262x = 97,881.50 × 97,881.50
  4. Step 4: Simplify right side
    59,262x = 9,580,788,042.25
  5. Step 5: Solve for x
    x = 9,580,788,042.25/59,262
  6. Step 6: Final answer
    x = 161,668.32

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.