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Finding the Third Proportional to 123,159 and 265,547

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Solution

The third proportional to 123,159 and 265,547 is: 572,554.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,159 : 265,547 = 265,547 : x
  2. Step 2: Convert to fraction form
    123,159/265,547 = 265,547/x
  3. Step 3: Cross multiply
    123,159x = 265,547 × 265,547
  4. Step 4: Simplify right side
    123,159x = 70,515,209,209
  5. Step 5: Solve for x
    x = 70,515,209,209/123,159
  6. Step 6: Final answer
    x = 572,554.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.