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Finding the Third Proportional to 52,983 and 115,807.50

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Solution

The third proportional to 52,983 and 115,807.50 is: 253,126.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,983 : 115,807.50 = 115,807.50 : x
  2. Step 2: Convert to fraction form
    52,983/115,807.50 = 115,807.50/x
  3. Step 3: Cross multiply
    52,983x = 115,807.50 × 115,807.50
  4. Step 4: Simplify right side
    52,983x = 13,411,377,056.25
  5. Step 5: Solve for x
    x = 13,411,377,056.25/52,983
  6. Step 6: Final answer
    x = 253,126.04

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.