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Finding the Third Proportional to 61,030.97 and 97,116.47

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Solution

The third proportional to 61,030.97 and 97,116.47 is: 154,538.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,030.97 : 97,116.47 = 97,116.47 : x
  2. Step 2: Convert to fraction form
    61,030.97/97,116.47 = 97,116.47/x
  3. Step 3: Cross multiply
    61,030.97x = 97,116.47 × 97,116.47
  4. Step 4: Simplify right side
    61,030.97x = 9,431,608,502.47
  5. Step 5: Solve for x
    x = 9,431,608,502.47/61,030.97
  6. Step 6: Final answer
    x = 154,538.08

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.