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Finding the Third Proportional to 93,547.41 and 142,656.19

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Solution

The third proportional to 93,547.41 and 142,656.19 is: 217,545.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,547.41 : 142,656.19 = 142,656.19 : x
  2. Step 2: Convert to fraction form
    93,547.41/142,656.19 = 142,656.19/x
  3. Step 3: Cross multiply
    93,547.41x = 142,656.19 × 142,656.19
  4. Step 4: Simplify right side
    93,547.41x = 20,350,787,832.04
  5. Step 5: Solve for x
    x = 20,350,787,832.04/93,547.41
  6. Step 6: Final answer
    x = 217,545.19

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Why These Related Problems?

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