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Finding the Third Proportional to 56,547 and 118,905.75

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Solution

The third proportional to 56,547 and 118,905.75 is: 250,032.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,547 : 118,905.75 = 118,905.75 : x
  2. Step 2: Convert to fraction form
    56,547/118,905.75 = 118,905.75/x
  3. Step 3: Cross multiply
    56,547x = 118,905.75 × 118,905.75
  4. Step 4: Simplify right side
    56,547x = 14,138,577,383.06
  5. Step 5: Solve for x
    x = 14,138,577,383.06/56,547
  6. Step 6: Final answer
    x = 250,032.32

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.