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Finding the Third Proportional to 112,575 and 172,606.50

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Solution

The third proportional to 112,575 and 172,606.50 is: 264,650.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,575 : 172,606.50 = 172,606.50 : x
  2. Step 2: Convert to fraction form
    112,575/172,606.50 = 172,606.50/x
  3. Step 3: Cross multiply
    112,575x = 172,606.50 × 172,606.50
  4. Step 4: Simplify right side
    112,575x = 29,793,003,842.25
  5. Step 5: Solve for x
    x = 29,793,003,842.25/112,575
  6. Step 6: Final answer
    x = 264,650.27

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.