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Finding the Third Proportional to 72,044.13 and 156,547

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Solution

The third proportional to 72,044.13 and 156,547 is: 340,166.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,044.13 : 156,547 = 156,547 : x
  2. Step 2: Convert to fraction form
    72,044.13/156,547 = 156,547/x
  3. Step 3: Cross multiply
    72,044.13x = 156,547 × 156,547
  4. Step 4: Simplify right side
    72,044.13x = 24,506,963,209
  5. Step 5: Solve for x
    x = 24,506,963,209/72,044.13
  6. Step 6: Final answer
    x = 340,166.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.