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Finding the Third Proportional to 104,547 and 162,112.50

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Solution

The third proportional to 104,547 and 162,112.50 is: 251,374.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,547 : 162,112.50 = 162,112.50 : x
  2. Step 2: Convert to fraction form
    104,547/162,112.50 = 162,112.50/x
  3. Step 3: Cross multiply
    104,547x = 162,112.50 × 162,112.50
  4. Step 4: Simplify right side
    104,547x = 26,280,462,656.25
  5. Step 5: Solve for x
    x = 26,280,462,656.25/104,547
  6. Step 6: Final answer
    x = 251,374.62

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.