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Finding the Third Proportional to 50,547.50 and 77,045.50

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Solution

The third proportional to 50,547.50 and 77,045.50 is: 117,434.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,547.50 : 77,045.50 = 77,045.50 : x
  2. Step 2: Convert to fraction form
    50,547.50/77,045.50 = 77,045.50/x
  3. Step 3: Cross multiply
    50,547.50x = 77,045.50 × 77,045.50
  4. Step 4: Simplify right side
    50,547.50x = 5,936,009,070.25
  5. Step 5: Solve for x
    x = 5,936,009,070.25/50,547.50
  6. Step 6: Final answer
    x = 117,434.28

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.