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Finding the Third Proportional to 59,089.50 and 77,547.38

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Solution

The third proportional to 59,089.50 and 77,547.38 is: 101,770.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,089.50 : 77,547.38 = 77,547.38 : x
  2. Step 2: Convert to fraction form
    59,089.50/77,547.38 = 77,547.38/x
  3. Step 3: Cross multiply
    59,089.50x = 77,547.38 × 77,547.38
  4. Step 4: Simplify right side
    59,089.50x = 6,013,595,369.39
  5. Step 5: Solve for x
    x = 6,013,595,369.39/59,089.50
  6. Step 6: Final answer
    x = 101,770.96

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.